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Finding the Fourth Proportional to 114,073.80, 171,159.30 and 71,986.20

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Solution

The fourth proportional to 114,073.80, 171,159.30 and 71,986.20 is: 108,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,073.80 : 171,159.30 = 71,986.20 : x
  2. Step 2: Convert to fraction form
    114,073.80/171,159.30 = 71,986.20/x
  3. Step 3: Cross multiply
    114,073.80x = 171,159.30 × 71,986.20
  4. Step 4: Simplify right side
    114,073.80x = 12,321,107,601.66
  5. Step 5: Solve for x
    x = 12,321,107,601.66/114,073.80
  6. Step 6: Final answer
    x = 108,009.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.